Assertion: Two identical spherical spheres are half filled with two liquids of densities `rho_(1)` and `rho_(2) (gt rho_(1))`. The center of mass of both the spheres lie at same level.

Reason: The center of mass will lie at center of the sphere.

Options

A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Answer

C

Explanation

We know that center of mass of half disc depends only on radius and only the density of the material of disc similarly in this case center of mass of half filled sphere will depends only on radius and not on density of liquid inside. Since both sphere are of same radius so both have CM at the same level.